Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×D₉

Direct product G=N×Q with N=C₄ and Q=C₅×D₉

		d	ρ	Label	ID
D₉×C₂₀		180	2	D9xC20	360,21

Semidirect products G=N:Q with N=C₄ and Q=C₅×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×D₉) = C₅×D₃₆	φ: C₅×D₉/C₄₅ → C₂ ⊆ Aut C₄	180	2	C4:(C5xD9)	360,22

Non-split extensions G=N.Q with N=C₄ and Q=C₅×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×D₉) = C₅×Dic₁₈	φ: C₅×D₉/C₄₅ → C₂ ⊆ Aut C₄	360	2	C4.(C5xD9)	360,20
C₄.₂(C₅×D₉) = C₅×C₉⋊C₈	central extension (φ=1)	360	2	C4.2(C5xD9)	360,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D9